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Finding the Fourth Proportional to 206,059.97, 284,365.61 and 134,398.87

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Solution

The fourth proportional to 206,059.97, 284,365.61 and 134,398.87 is: 185,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,059.97 : 284,365.61 = 134,398.87 : x
  2. Step 2: Convert to fraction form
    206,059.97/284,365.61 = 134,398.87/x
  3. Step 3: Cross multiply
    206,059.97x = 284,365.61 × 134,398.87
  4. Step 4: Simplify right side
    206,059.97x = 38,218,415,771.95
  5. Step 5: Solve for x
    x = 38,218,415,771.95/206,059.97
  6. Step 6: Final answer
    x = 185,472.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.